Finding the Fourth Proportional to 1,826.96, 2,740.23 and 839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.96 : 2,740.23 = 839.50 : x
2. Step 2: Convert to fraction form
   1,826.96/2,740.23 = 839.50/x
3. Step 3: Cross multiply
   1,826.96x = 2,740.23 × 839.50
4. Step 4: Simplify right side
   1,826.96x = 2,300,416.23
5. Step 5: Solve for x
   x = 2,300,416.23/1,826.96
6. Step 6: Final answer
   x = 1,259.15